Answer:
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac } }{2a}[/tex]
Step-by-step explanation:
If a quadratic equation is in the form of ax²+ bx + c = 0
Then the roots of this quadratic equation can be obtained by,
1). Factoring the expression.
2). By quadratic formula.
If we use the method to get the value of x or roots of the equation,
x = [tex]\frac{-b\pm \sqrt{b^{2}-4ac } }{2a}[/tex]
where a, b and c are the coefficients used in the quadratic equation.
Abby and Katy are selling cheesecakes. There are apple and pecan cheesecakes. Abby sold 14 pecan and 3 apple cheesecakes for a total of $113. Katy sold 7 pecan and 8 apple cheesecakes for a total of $180. What's the cost of one pecan cheesecake and one apple cheesecake?
How would I set this up?
If you want to set up the equations:
let the cost of one apple cheesecake be [tex] a[/tex] and the cost of one pecan cheesecake be $p$
from Abby, $14p+3a=113$
and from Katy....?
then solve for both variables
can you take it from here?
What is 0.75 as a fraction?
Answer:
3/4
Step-by-step explanation:
We would like to find what 0.75 is as a fraction.
Remember that since there are two digits past the decimal point, the denominator will 100.
So, the numerator is 75 and the denominator is 100. We now have:
75/100
We would like to simplify this. Notice that the top and bottom (75 and 100) are both divisible by 25. So divide both by 25:
75 / 25 = 3
100 / 25 = 4
The answer is thus 3/4.
~ an aesthetics lover
A shipping container in the shape of a rectangular prism is 60 feet long, 45 1/2 feet wide, and 14 feet tall. What is the volume of the shipping container? A. 2,400 ft.^3 B. 2,730 ft.^3 C. 38.220 ft.^3 D. 76,440 ft.^3 Please include work!!
PLEASE HELP!! I NEED THIS SOON!! Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial. As an added challenge, develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x2 + 2x + 2). Give at least 5 sentences.
Answer:
the guy is right
Step-by-step explanation:
help meplz i want help i bad
Answer:
.00002
Step-by-step explanation:
2 * 10 ^-5
Move the decimal 5 places to the left since the exponent is negative
2.
We will need to add zeros on the left Add 4 zeros since we can move it one place already
.00002
Answer:
(D) 0.00002
Step-by-step explanation:
Let's first forget about the 2 in the expression and focus on [tex]10^{-5}[/tex].
If we have 10 to a positive number, that many times the decimal place will move to the right. It's the opposite for 10 to the power of a negative number.
The decimal place will move 5 places to the LEFT.
So:
[tex]0000010\\\\0.00001[/tex]
Now we remember the two, and multiply this by two to get 0.00002.
Hope this helped!
Please help As soon as possible!
Answer:
10
Step-by-step explanation:
To find the area of a parallelogram you need to use the expression A = bh
When you plug that in it will be 120 = 12b
After this, you need to solve (10)
Please help! Dad will murder me if I don't have this done by the time he gets home! 100 points for whoever solves this!
Answer:
3(4)to the 3
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLY!!!!!!!
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
A) q= 5/5
B) q= -5/5
C) q= 3/5
D) q= -3/5
E) q= 25/5
Answer:
q = -5[tex]\sqrt{5}[/tex]
q = 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Since there is no constant value. This must be a special case.
So,
(q+5[tex]\sqrt{5}[/tex])(q-5[tex]\sqrt{5}[/tex])
q = -5[tex]\sqrt{5}[/tex]
q = 5[tex]\sqrt{5}[/tex]
can somewon help me plz
Answer:
=1468 in ^3
Step-by-step explanation:
Find the volume of the container as if the corner was still there
V = l*w*h
V = 10 * 10 *15
= 1500
Subtract the missing corner
The volume of the missing piece is
V = l*w*h
= 2*4*4
= 32
V = 1500-32
=1468 in ^3
Answer:
It is 1468 inches cubed.
Step-by-step explanation:
You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15. They multiply to become 1500 inches cubed. You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2. And that equals 32. So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32. That equals 1468 inches cubed. You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it. So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.09) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2008? A. 9%; $440.36 million B. 19%; $479.99 million C. 9%; $404.00 million D. 19%; $240.89 million
Answer:
A. 9%; $440.36 million
Step-by-step explanation:
Using A(1+r)t, we can subtract 1-1.09=.09*100=9%.
That means the projected annual growth is 9%
Now we can calculate the worth of the company by replacing t=8, 2008-2000=8
[tex]w=221(1.09)^8\\=440.356=440.36 million[/tex]
The admission fee at a carnival fair is $4.50 for children
and $8.00 for adults. One day, 2200 people attended the fair
and $5050 was collected. How many children and how many
adults attended?
Lets say:
c= number of children
a= number of adults
Answer:
Adult=1,385.71
Children=814.29
Approximately
Adult=1386
Children=814
Step-by-step explanation:
c= number of children
a= number of adults
Admission fee for children=$4.50
Admission fee for adults=$8.00
Total attendees=2200
Total amount realized=$5050
We need two equations to solve the two unknowns
c + a=2200 (1)
4.50c + 8.00a=5,050 (2)
From (1)
c + a=2200
c=2200 - a
Substitute c=2200 - a into (2)
4.50c + 8.00a=5,050
4.50(2200 - a) + 8.00a=5050
9900 - 4.50a +8.00a=5050
Collect like terms
9900-5050= -4.50a+8.00a
4,850=3.5a
Divide both sides by 3.5
1,385.71=a
Substitute a=1,385,71 into (1)
c + a=2200
c+1385.71=2200
c=2200-1385.71
=814.29
c=814.29
URGENT!!! REALLY NEED HELP!!!
FIRST *CORRECT* ANSWER WILL BE BRAINLIST!!!!!
The bar graph shows the percent of students that chose each drink in the school
cafeteria. Which statement about the graph is true?
Answer:
1st option
Step-by-step explanation:
Because .3*300=90
.3=30%
Answer:
If 300 lunches were served, then 90 chose milk (7).
Step-by-step explanation:
To determine that this is the correct answer, you can just divide 90/300, which is equal to 0.3 or 30%. When you look at the graph, you can see that "milk" is equal to 30%, so this statement is true.
Find mPRˆ(arc). A. 115 B. 95 C. 125 D. 100
Answer:
D. 100°
Step-by-step explanation:
Refer to picture attached
Lines QP and QR are tangent to radius of circle.
Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.
So as per sum of angles in right triangle, we have:
1/2∠PQR + 1/2∠POR = 90°1/2(81x-1)° + 1/2(100x)° = 90°(90.5x)°= 90.5°x= 1°Then:
mPR(arc)= (100x)°= 100*1°= 100°Correct answer choice is D. 100°
Use the diagram below to answer the questions.
Which are shown on the diagram? Check all that apply.
JL
KM
JK
PK
LJK
MJ
Answer:B, C, & F
Step-by-step explanation:
got correct on edge
KM, JK, PK, and MJ are shown on the diagram. Then the correct options are B, C, D, and F.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries.
All the line segments will be
JK, JM, KM, MP, PK, and KL
The triangle KPM.
And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.
Then the correct options are B, C, D, and F.
More about the coordinate geometry link is given below.
https://brainly.com/question/18269861
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Choose the function whose graph is given by
C)
Because if you choose some points for example x = 0 and x = 3.14 (≈ pi)
you will see that there's only one match.
Answer:
Option C. y = cos x -2
Step-by-step explanation:
PLEASE HELP!!!!! I BEG OF EVERYONE. FIRST CORRECT WILL GET BRALIEST!!!!!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answer:
32 miles/4 hours.
Step-by-step explanation:
The angles of a pentagon are in ratio
9:10:12:14:15. What is the sum of measures of
the smallest and largest angles?
Answer:
216°
Step-by-step explanation:
The ratio of the sum of smallest and largest to the total of all angles is ...
(9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4
__
The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...
180°(5 -2) = 540°
Then the sum of smallest and largest angles is ...
0.4(540°) = 216°
Which graph shows Point P as (–5,6) and Point Q as (3,–4)?
Answer:
The third graph from the left.
Step-by-step explanation:
The points are located on the graph that was given below. Then the correct option is C.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The points are given below.
P(5, 6) and Q(3, -4)
Point P is located by moving 5 units towards the left and 6 units upwards.
Point Q is located by moving 3 units towards the right and 4 units downwards.
The points are located on the graph that was given below.
Then the correct option is C.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
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what is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!
Answer:
9 1/5
Step-by-step explanation:
3 2/7 * 2 4/5
Change to improper fractions
( 7*3+2)/7 * ( 5*2+4)/5
23/7 * 14/5
Rewriting
14/7 * 23/5
2 * 23/5
46/5
Changing back to a mixed number
5 goes into 45 9 times with 1 left over
9 1/5
The product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form as per the concept of simplifying fractions.
To multiply the mixed numbers 3 2/7 and 2 4/5, we need to convert them to improper fractions and then perform the multiplication.
First, convert 3 2/7 to an improper fraction:
3 2/7
= (3 x 7 + 2) / 7
= 23/7
Next, convert 2 4/5 to an improper fraction:
2 4/5
= (2 x 5 + 4) / 5
= 14/5
Now, multiply the two improper fractions:
(23/7) x (14/5) = (23 x 14) / (7 x 5)
= 322/35
To simplify the resulting fraction, we find the greatest common divisor (GCD) of the numerator (322) and the denominator (35), which is 7. Divide both the numerator and the denominator by the GCD:
322/35
= (322/7) / (35/7)
= 46/5
Now, express the improper fraction as a mixed number:
46/5 = 9 1/5
Therefore, the product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form.
To learn more about the fractions;
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Each half-inch of a ruler is divided evenly into eight divisions. What is the level of accuracy of this measurement tool?
Answer:
The level of accuracy of the measurement ruler measurement tool is 1/16 of an inch
Step-by-step explanation:
The accuracy of a measurement tool is determined by the ability of the tool measure the accurate value of the actual or standard measurement. The accuracy of a measurement tool depends on its ability to take small measurements
The parameter given includes;
The number of divisions on each 1/2 inch of the ruler = 8
Therefore, the smallest divisions on the ruler = (1/2) inch ÷ 8 = 1/16 inch
Therefore, the level of accuracy of the measurement ruler measurement tool = 1/16 of an inch.
help me plz i want help
Answer:
200in²
Step-by-step explanation:
I separated the shaded face into two squares. Both squares would be 10 by 10.
Area of a square: [tex]a=s^2[/tex]
For each square, they have a side of 10 in.
[tex]a=10^2\\\\a=100[/tex]
The area for one square is 100in². This means that for the whole face, which is made out of 2 squares, the area would be 200in².
The second option should be the correct answer.
The coefficient of 8.2 N is
8
2
16
Answer:
2
Step-by-step explanation:
A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.
The format is not exactly clear with the expression in the question.
Assuming the expression is '8 * 2n', the coefficient would be 2.
'n' is getting multiplied by '2'.
'8' does not have a variable next to it, so it is just a term in the expression.
The product of 8 and 2 is 16. 16 is not in the expression.
If the expression was '8.2n', 8.2 would be the coefficient.
Brainilest Appreciated.
The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?
Answer:
25%
Step-by-step explanation:
The ratio of rise to run is ...
rise/run = 6 ft/24 ft = 1/4
Expressed as a percentage, this is ...
1/4 × 100% = 25%
_____
Comment on this grade
Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.
Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)
Answer:
{16, +infinity}
Step-by-step explanation:
Represent the number with n
Required
Find the solution set
From the question, we have that;
4½n - 9½ > 62.5
Convert all numbers to decimal
4.5n - 9.5 > 62.5
Add 9.5 to both sides
4.5n - 9.5 + 9.5 > 62.5 + 9.5
4.5n > 72
Multiply both sides by 2
2(4.5n) > 72 * 2
9n > 144
Multiply both sides by ⅑
⅑ * 9n > 144 * ⅑
n > 16
This implies that n ranges to infinity from positive 16;
Hence, the correct answer is {16, +infinity}
In a Euler diagram, “No X are Y” would be represented how?
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
AB and CD intersect at point O, ∠ACO ≅ ∠DBO, and BO ≅ CO . Prove that △ACO ≅ △DBO. Plz Help Me... Thanks
Since ∠COA and ∠BOD are vertical angles, they are congruent.
You are also given that ∠ACO ≅ ∠DBO and BO ≅ CO.
By ASA (Angle-Side-Angle) congruency, you know that △ACO ≅ △DBO
The proof is shown below:
What is congruency of Triangles?If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
In Δ PQR and ΔXYZ, as shown below, we can identify that PQ = XY, PR = XZ, and QR = YZ and ∠P = ∠X, ∠Q = ∠Y and ∠R = ∠Z. Then we can say that Δ PQR ≅ ΔXYZ.
What is ASA congruency criteria?ASA criterion stands for Angle-Side-Angle criterion. Under the ASA criterion, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
Given:
∠ACO ≅ ∠DBO, and BO ≅ CO
as, ∠COA =∠BOD (vertically opposite angles)
∠ACO ≅ ∠DBO ( given)
BO ≅ CO ( given)
So, By ASA (Angle-Side-Angle) congruency, △ACO ≅ △DBO
Learn more about congruency here:
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A parallelogram has a base of 9 centimeters and a height of 21 centimeters. What is the area of the parallelogram? Please include all work!!
Answer:
A =189 cm^2
Step-by-step explanation:
The area of a parallelogram is found by
A = bh where b is the base and h is the height
A = 9 * 21
A =189 cm^2
Select all decimals that are equivalent to (9 x 100) + (2 x 10) + (3x ) + (5 x it).
A. 92.35
B. 920.350
C. 902.35
D. 92.350
D E 920.35
F. 920.035
Answer:
the answer to the question is letter E I believe
A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi. A.21.2 B.24.7 C.7.9 D.31.8
Answer:
A = 56.5cm²
Step-by-step explanation:
r = 1.5cm
h = 4.5cm
A=2πrh+2πr2
A = 2πr(h+r)
A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )
A = 56.62cm²
[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]
Height of the cylinder = 4.5 cmDiameter of the cylinder = 1.5 cmConsider π = 3.14[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]
Surface area of the cylinder in cm²?[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]
For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)
Where, r = radius of the cylinder and h is the height of the cylinder.
[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]
We are provided with,
h = 4.5 cmd = 1.5 cmThen, Radius = 1.5 cm / 2
By using formula,
⇛ 2πr(r + h)
⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²
⇛ 2 × 3.14 × 3/4( 5.25) cm²
⇛ 24.7275 cm²
❇ Option B
✤ TSA of the cylinder = 24.7275 cm²
━━━━━━━━━━━━━━━━━━━━
Step 2 Using Proportional Relationships
Answer:
a ( 567 miles to unit)
b( looks like 2 units so i would say 1134 miles
Answ: the scale is
Step-bstep explanatio