Answer:
x =3
Step-by-step explanation:
The axis of symmetry is at the vertex
The x coordinate gives the axis of symmetry
x =3
Answer:
x = 3.
Step-by-step explanation:
The equation of the parabola is
f(x) = a(x - 3)^2 - 2 where the vertex is (3, -2).
The axis of symmetry passes though x = 3
A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?
Answer:
11.76
Step-by-step explanation:
We are given that,
Total number of students = 340
Students that prefer cheese pizza = 40
Students that prefer pepperoni pizza = 28
Thus, we get that,
The proportion of students that prefers cheese pizza =
i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%
Hence, 11.76% of the students prefer cheese pizza.
Jack wants to buy 30 chocolate chip cookies that are $1.25 each. If sales tax is 7.5%. What will Jack’s total bill be?
Answer:
which will be about $2.81
Step-by-step explanation:
30 times 1.25 = 37.50
then multiply that by 7.5%
i may be wrong. i am sorry if i am worong
Answer:
$318.75
Step-by-step explanation:
30 cookies x $1.25 = $37.5
37.5 x 7.5% tax = 281.25
37.5 + 281.25 = 318.75
The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?
Answer:
The area of the shaded region is [tex]18\ \text{units}^2[/tex].
Step-by-step explanation:
On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
b is base and h is height
From this figure, each box is a square of side 1 unit say.
Its height will be 4 units and its base is 9 units
So,
[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]
So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].
(5×7) + 3 = 5 ×(2×7) true or false
Step-by-step explanation:
35 + 3 = 5 x 14
38 = 70
False
Answer:
false
Step-by-step explanation:
(5×7)+3
(35)+3
38
5×(2×7)
5×(14)
70
PLEASE HELP I DON'T HAVE ANYTIME LEFT!!!!
Which inequality is true? Use the number line to help.
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
Negative 1.5 greater-than 0.5
Negative 0.5 greater-than 0
Negative 1.5 less-than negative 0.5
One-half greater-than 0.5
Answer:
Negative 1.5 less than negative 0.5
Step-by-step explanation:
False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.
False, negative 0.5 is again less than 0 so therefore it would not be greater.
False, one half is the same as 0.5 just in word form.
That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.
Answer:
C. –2.5 < –2
Step-by-step explanation:
Your teacher is giving away candy from a bag. The bag contains 5 Reese's Peanut
Butter Cups, 4 Snickers, 3 Sour Patch, & 6 Skittles. Find the probability that you and
your friend choose Snickers. Find P(Snickers n Snickers).
Answer:
P(Snickers n Snickers) = [tex]\frac{2}{51}[/tex]
Step-by-step explanation:
Given
Bag of candy
5 Reese's Peanut Butter Cups,
4 Snickers
3 Sour Patch
6 Skittles
Required
Calculate P(Snickers n Snickers)
To solve this question, it'll be assumed that you and your friend selected snickers at a consecutive time.
First, we need to calculate the total number of candy
Total = 5 + 4 + 3 + 6
Total = 18 candies
P(Snickers n Snickers) means P(Snickers and Snickers);
i.e. the probability of selecting snicker twice
Number of snickers = 4;
So, the probability of you selecting a snicker first is [tex]\frac{4}{18}[/tex]
This is gotten by dividing number of snickers by total candies.
At this point, there are 4 - 1 snickers left and there are 18 - 1 candies left;
So, the probability of your friend selecting a snicker is [tex]\frac{4 - 1}{18 - 1}[/tex].
So, P(Snickers n Snickers) = [tex]\frac{4}{18}[/tex] * [tex]\frac{4 - 1}{18 - 1}[/tex]
P(Snickers n Snickers) = [tex]\frac{4}{18}[/tex] * [tex]\frac{3}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{9}[/tex] * [tex]\frac{3}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{3}[/tex] * [tex]\frac{1}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{51}[/tex]
Hence, the probability of you and your friend choosing snickers is [tex]\frac{2}{51}[/tex]
1. Why is cosine positive in the 4th quadrant and sine isn't?
Your answer
2. An angle measures 120 degrees. Describe how to use special right triangles
and the unit circle as tools to calculate the sine and cosine of this angle.
Your answer
3. Explain why you cannot use the Distributive Property to evaluate an expression
in the form of sin(a + b). Please illustrate with an example along with your
explanation
Your answer
Answer:
because cosine dependency on sine - 1
Step-by-step explanation:
The unit circle has a radius of one, so the hypotenuse is 1. Sine is opposite over hypotenuse. Since the hypotenuse is 1, sine on the unit circle is the opposite side. When you look at the unit circle, the opposite side is perpendicular to the x-axis. This means that, essentially, the opposite side is the height from, or the distance from, the x-axis, which is the y-value.
a unit circle (a circle with radius one), is that if you draw a right triangle where the hypotenuse of the triangle connects a point on the unit circle with the point (0, 0), the length of the hypotenuse is always going to be one. Because that's the radius of the circle! And the length of the other two sides are just going to be the x and y coordinates of the point on the unit circle.
Take a little time drawing right triangles were the hypotenuse connects the middle of the unit circle to a point on the circle and see if you can convince yourself that this is the case.
So you have a right triangle where one side length is the x-coordinate and one side length is the y-coordinate, and the hypotenuse is equal to 1. This means you can figure out the sine and cosine of the angle that the hypotenuse and the x-axis make:
The cosine is the length of the adjacent side (which is the x-coordinate) divided by the length of the hypotenuse (which is 1). So the cosine is just the x-coordinate!
Similarly, the sine is the length of the opposite side (which is the length of the y-coordinate) divided by the length of the hypotenuse (which is 1). So the sine is the y-coordinate.
The trigonometric ratio defining the tangent (opposite over adjacent) may be less intuitive from the unit circle, but I hope you can see from the unit circle why the tangent of an angle is equal to the sine of the angle over the cosine.
Which table represents of a linear function?
Answer:
X | Y
2 | 7
4 | 9 <-- linear.
6 | 11
8 | 13
A linear function is when there is an even consonant decline or up-rise.
X | Y
1 | 2
2 | 4 <-- also linear.
3 | 6
4 | 8
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given
Answer:
number of math cpurses: discrete. weight of backpacks: continuous
Step-by-step explanation:
J’ai besoin d’aide pour cette question.
Je vais mettre branliest.
7. Complète le tableau suivant.
A) Un politicien répond à 20 questions en 15 minutes. Il faut le mettre en table de valeurs et en graphique.
Answer:
tracer des points à (0,0) et (3,4) et connecter des lignes pour créer un graphique
Step-by-step explanation:
J'utilise google translate pour vous aider, IDK
un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului.
Answer:
english plz !!!!!!!!!!
Step-by-step explanation:
Will give brainliest answer
Answer:
[tex]31.5units^2[/tex]
Step-by-step explanation:
The shape shown above can be split into 2 triangles and 1 rectangle.
The formula for a triangle:
[tex]A=\frac{1}{2} bh[/tex]
The formula for a rectangle:
[tex]A=lw[/tex]
Area of triangle (both have the same lengths so you can just double the area):
[tex]A=\frac{1}{2} (3)(3.5)\\A=5.25[/tex]
Area of rectangle:
[tex]A=(7)(3)\\A=21[/tex]
Add the individual areas together to get the overall:
5.25 + 5.25 + 21 = 31.5
Due to client growth, Dr. Smith must increase his amount of kennel space from
11 kennels to 25 kennels. How many kennels will Dr. Smith need to add to the
clinic?
Answer:
14
Step-by-step explanation:
25-11 = 14
What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81
Answer:
is C=64
Step-by-step explanation:
Answer:
c=64
Step-by-step explanation:
I took the test
what do I do if thre are 2 middles in a mean
Answer:
If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.
Mark as brainliest please I need a few more :D
What is the greatest common factor for each group?
Answer:
Left group: [tex]2x^{5\\}[/tex] Right group: 3
Step-by-step explanation:
Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )
21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.
Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex] = 2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)
Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].
Please help me find the volume of the triangular prism and the area of the hexagon.
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the rectangle
Answer:
width = 2 units
Step-by-step explanation:
If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.
the area of a rectangle is length * width
so just substitute the values that we have now.
x (length) * (x-4) width = 12 (area of rectangle)
so that gives us
x^2 - 4x =12
subtract 12 from both sides
x^2 - 4x - 12 =0
now factor this equation
x^2 + 2x - 6x -12 = 0
x(x+2) - 6(x+2) = 0
(x-6)(x+2) = 0
x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE
length = 6, and width = 6 -4 = 2
Answer:
W=2 units
Step-by-step explanation:
Length=L
Width=L-4
Area of a rectangle= L*W
L(L-4)=12
L^2-4L=12
L^2-4l-12=0
Now we have a quadratic equation
(L-6)(L+2)=0
L=6, L=-2
L cannot be -2 because it is negative, so L must be 6.
BUT it is asking for the width
and it is given that the width is the length minus 4 units, so
6-4= 2 units
which of the following as the same value as 2^3 a. 5 b. 6 c. 8 d. 23 f. none of the above
Answer:
8
Step-by-step explanation:
2 x 2 = 4 x 2 = 8
Which of the following number sentences is an example of the associative property of multiplication?
4 × 5 = 5 × 4
6 × 1 = 6
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
What is the surface area of the square pyramid represented by the net below?
Answer:
64 cm^2
Step-by-step explanation:
Square: 4*4 = 16
Triangles: 4((4*6)/2))
= 4(24/2)
= 4(12)
= 48
Add the square and triangles together
= 16 + 48
= 64
The total will be 64 cm^2
Answer: 64 cm2
Step-by-step explanation:
Which expression can be used to find the surface area of the following rectangular prism?
A.15+15+10+10+6+6
B.10+6
C.10+10+6+6
D.15+15+10+10+6
What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3
Answer:
3127
Step-by-step explanation:
YES
The volume of the given composite figure is 312π mm³
Given is a composite figure, having two solids, a cone and a hemisphere,
We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,
= 1/3 π r² h + 2/3 π r³
= 1/3 π r²[h+2r]
= 1/3 π 36[12+14]
= 312 π
Hence, the volume of the given composite figure is 312π mm³
Learn more about the volumes, click;
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What is the x-intercept of the continuous function shown in the table? (0, –8) (0, 2) (–8, 0) (2, 0)
Answer:
d. (2, 0)
Step-by-step explanation:
In the picture attached, the missing table is shown.
At x-intercept, f(x) = 0, that is, if the value of the function is zero, the function intersects x-axis.
It can be seen at the picture, that f(x) = 0 when x = 2, then the point is (2, 0)
A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?
Answer:
you need 3000000 bees
Step-by-step explanation:
1kg=1000000mg.
1000000x3=3000000
hope this helps, have a good day :)
there's something wrong with my eyes, i can't see when i close them. plz help me!!!!!
Step-by-step explanation:
Wow no way! You must have like a disorder or smthing! U should go to the doctor right away! U know what, so should I since I have the same problem as u!!
Answer: Your eyelids are doing it’s thing.
Step-by-step explanation: This happens to me as well. I can’t see when I close my eyelids.
Which set of numbers is in order from greatest to least?
o 13,823; 13,328; 13,238; 12,328
13,238; 13,328; 13,823; 12,328
O 13,823; 13,238; 13,328; 12,328
O 12,328:13,238; 13,328; 13,823
Answer:
A. 13,823; 13,328; 13,238; 12,328
Step-by-step explanation:
PLEASE ANSWER QUICKLY!!!
You have a regular deck of 52 cards. You are wanting to draw a king, than an ace. You draw the first card, then replace it back into the deck. Have you created an independent or dependent event?
Answer:
Dependent Event
Step-by-step explanation:
Sorry if this was late!
please help me
f(x) =3x^2 + 2x - 1
what is f(5)
Answer:
17
Step-by-step explanation:
f(5)=3(5)+2. f(5)=17
Answer:
f(5) = 84Step-by-step explanation:
f(x) =3x^2 + 2x - 1
what is f(5)
f(5) = 3(5)² + 2(5) - 1
f(5) = 75 + 10 - 1
f(5) = 84
Aiyanna and Rose have 42 cards to sign.Aiyanna signs 1/3 of the cards,while Rose signs 4/7.How many cards are left to be signed
Answer: Rose
Step-by-step explanation:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Answer:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Step-by-step explanation:
