Answer:
Third graph in the photo
Step-by-step explanation:
x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.
Clive started with 12 cups of pecans. After using some pecans to make muffins, he has fewer than 5 1/3 cups of pecans left to make pies.
Let x represent the number of cups of pecans Clive can use to make pies. Complete the inequality that can be used to model this situation.
Answer:
x= 6 2/3
Step-by-step explanation:
- z. zz z z z z z z z z z
The inequality should be completed for modelling the situation should be \(6 \frac{2}{3}\).
Calculation of the inequality:Since
Clive begins with 12 cups of pecans.
After using pecans to make muffins, he has less than 5 1/3 cups of pecans left to make pies.
So here the inequality should be completed for modelling the situation should be \(6 \frac{2}{3}\).
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Emiliano buys two coffees for $8.98. He tips the barista 20% of the bill. How much did Emiliano tip? Round your answer to the nearest cent.
Please help!
The amount for Emiliano tip is $1.8.
How to calculate the value?From the information, Emiliano buys two coffees for $8.98 and he tips the barista 20% of the bill.
The value of the tip will be:
= Percentage × Value of coffee
= 20% × $8.98
= 0.2 × $8.98
= $1.796
= $1.8 to the nearest cent.
This illustrates the concept of multiplication.
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You want a college fund for your newborn which will be worth 300,000 in 18 years. You purchase a CD with an 18 year maturity at 7%, compounded quarterly. How much did you pay for the CD if it will be worth what you want it to?
Given:
\(\text{Amount}=300,000;\text{ r=}7\text{ \% ; }n=4\text{ ; t=18}\)\(\text{Amount(A)}=P(1+\frac{r}{n})^{nt}\)\(300000=P(1+\frac{0.07}{4})^{4\times18}\)\(300000=P(\frac{4.07}{4})^{4\times18}\)\(300000=P(1.0175)^{72}\)\(P=\frac{300000}{(1.0175)^{72}}\)\(P=86028.6615\)Therefore , I have to pay 86028.66 .
Write the equation the describes the parabola that passes through the point (-8,-21) and has a vertex of (-4,-5), in vertex form
Answer:
d
Step-by-step explanation:
0. Complete the statement: 0.6L mL
Answer:
600mL
Step-by-step explanation:
1 Milliliter = 0.001 L
Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?
Answer:
840
Step-by-step explanation:
7000×2×6 ÷ 100. since it is 2%
= 840
A food packing company makes a popular fruit cocktail. To insure the mixture of fruit there are 3 cherry halves for every 8 white grape halves. An inspector notices one jar has 12 cherry halves and 20 white grape halves. how can this error be fixed?
The correct ratio of cherry halves to white grape halves in the mixture is 3:5.
The inspector noticed one jar has 12 cherry halves and 20 white grape halves. To fix this error, the food packing company should adjust the ratio of cherries to white grapes in the mixture.
Here's how to do it:
Let C be the number of cherry halves in the mixture and G be the number of white grape halves.
According to the given ratio, the proportion of cherry halves in the mixture is given by:
C / (C + G) = 3 / 11
To convert this proportion to a fraction, cross-multiply and simplify:
11C = 3(C + G)8C
= 3G
This means there are 3 white grape halves for every 8 cherry halves.
The total number of fruit halves in the mixture is:
C + G = (8/3)C
So for every 11 fruit halves, there are 8 cherry halves and 3 white grape halves.
Now consider the jar with 12 cherry halves and 20 white grape halves.
This means there are a total of 32 fruit halves in the jar.
To determine the correct number of cherry halves in the jar, use the ratio of cherry halves to fruit halves:
12 / 32 = 3 / 8
Solve for the number of cherry halves in the jar:
C = (12/32) * (8)
= 3
To determine the correct number of white grape halves in the jar, use the ratio of white grape halves to fruit halves:
20 / 32 = 5 / 8
Solve for the number of white grape halves in the jar:
G = (20/32) * (8)
= 5
The correct ratio of cherry halves to white grape halves in the mixture is 3:5.
Therefore, the company should adjust the mixture to add more white grape halves to future jars of fruit cocktail.
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Find the sum of the first 10 terms of an arithmetic sequence with an eighth term of 8.2 and a common difference of 0.4.
The sum of first 10 terms is 72.
Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Arithmetic Progression Formula
= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.
Given:
Eighth term is 8.2
Common difference is 0.4
a(8) = 8.2
a + 7d = 8.2
Since d = 0.4
a + 7(0.4) =8.2
a = 5.4
Sum of 10 terms = n/2 (2a+(n-1)d)
= 5(2*5.4 + 9*0.4)
=5(10.8 +3.6)
Sum=72
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Answer the following questions a Find A b 3 whose eigenvalues are 1 and 4, and whose eigenvectors are *> respectively b Find B whose eigenvalues are 1 and 3
This gives us the equation -2x + y = 0 and 4x - 3y = 0, which has the solution x = y/2. Therefore, the eigenvector for λ = 3 is v2 = [1; 2].
a) To find matrix A with eigenvalues 1 and 4 and corresponding eigenvectors v1 and v2 respectively, we can use the formula A = PDP^-1 where P is the matrix of eigenvectors and D is the diagonal matrix of eigenvalues.
We know that v1 and v2 are eigenvectors with eigenvalues 1 and 4 respectively, so we can set up the following equations:
Av1 = 1v1 and Av2 = 4v2
Multiplying both sides of each equation by P^-1, we get:
PDv1 = v1 and PDv2 = 4v2
Therefore, P = [v1 v2] and D = [1 0; 0 4], which gives us the matrix A = PDP^-1.
b) To find matrix B with eigenvalues 1 and 3, we can use the same formula A = PDP^-1. However, we don't know the eigenvectors yet. To find them, we can use the characteristic polynomial of B, which is (1-λ)(3-λ) = 0. This gives us eigenvalues λ = 1 and λ = 3.
To find the eigenvectors for λ = 1, we need to solve the equation (B-λI)v = 0, which gives us:
(B-1I)v = 0
[0 1; 1 2][x; y] = [0; 0]
This gives us the equation x + y = 0, so the eigenvector for λ = 1 is v1 = [1; -1].
To find the eigenvectors for λ = 3, we need to solve the equation (B-λI)v = 0, which gives us:
(B-3I)v = 0
[-2 1; 4 -3][x; y] = [0; 0]
Using these eigenvectors and the formula A = PDP^-1, we can find the matrix B = PDP^-1 where P = [v1 v2] and D = [1 0; 0 3].
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Can someone help
What is the exponential form of the expanded form below?
3 times 3 times 3 times 3 times 3 times 3 times 3
3 times 7
3 superscript 7
7 cubed
3 superscript 6
Which measure of centre is meaningful when the data are qualitative?
A. The range
B. The mean
C. The mode
D. The median
The correct answer is C. The Mode.
What is data in math?Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.
This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.
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Find the slope of the line that passes through the points (2, 1) and (-1, -1). Will mark Brainliest
0
2
2/3
Answer:
the answer is two, the slope would be two
Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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Find the slope of the line that passes through:
(-3,-4) and (7,6)
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answer:
41 inches of wire will cost 164 cents.
Step-by-step explanation:
1st Method
Use proportions!
18/ 72 = 41/ c
Cross multiply
18 * c = 72 * 41
18c = 2952 divide both sides by 18
c = 164
2nd Method.
Find the rate of the costs. r = rate
18*r = 72
r = 4 cents/inch
Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!
41 inch * r (cents/inch) inches cancels out.
41 * 4 = 164
164 cents
Which of the following statements about trapezoids must be true? Question 20 options: A) One pair of opposite sides is parallel.
B) Opposite angles are equal.
C) Opposite sides are equal.
D) Both pairs of opposite sides are parallel.
As a result, the following must be true regarding trapezoids is A) One pair of opposite sides is parallel.
What does math parallel mean?
Lines inside a plane which are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Option A: One pair of opposite sides is parallel is true for all trapezoids. This is the defining characteristic of a trapezoid.
Option B: Opposite angles are equal is not necessarily true for all trapezoids. Only isosceles trapezoids have opposite angles that are equal.
Option C: Opposite sides are equal is not necessarily true for all trapezoids. Only isosceles trapezoids have opposite sides that are equal.
Option D: Both pairs of opposite sides are parallel is not necessarily true for all trapezoids. This only occurs in a special type of trapezoid known as a parallelogram.
Therefore, the statement that must be true about trapezoids is A) One pair of opposite sides is parallel.
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Ted like to run long ditance. He can run 20 \text{ km}20 km20, tart text, pace, k, m, end text in 959595 minute. He want to know how many kilometer (k)(k)left parenthei, k, right parenthei he will go if he run at the ame pace for 285285285 minute. How far will Ted run in 285285285 minute?
\text{km}kmtart text, k, m, end text
The number kilometers Ted ran in 285 minutes is 60 km.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, Ted likes to run long distances. He can run 20 km in 95 minutes.
We know that, speed =Distance/Time
Now, speed =20/95
= 0.21 km per minute
Number kilometers ran in 285 minutes is
285×0.21
= 59.85
≈ 60 km
Therefore, the number kilometers Ted ran in 285 minutes is 60 km.
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"Your question is incomplete, probably the complete question/missing part is:"
Ted likes to run long distances. He can run 20 km in 95 minutes. He wants to know how many kilometers he will go if he runs at the same pace for 285 minutes
Classify this triangle
A) Acute scalene triangle
B) Obtuse isosceles triangle
C) Right isosceles triangle
D) Right scalene triangle
Answer C Right Isosceles Triangle
Step-by-step explanation:
Do it
Answer: C
Step-by-step explanation:
It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.
what fraction of 1/2 square centimeter is 1/2 centimeter square
Answer:
1/2
Step-by-step explanation:
The ratio of interest is ...
(1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2
One-half centimeter squared is half of 1/2 square centimeter.
Si por 3 kilogramos de manzana se pagan $20. ¿Cuánto hay que pagar por 15 kilogramos?
Answer:
$100
Step-by-step explanation:
15÷3=5
20•5=100
Hope this helps
Find the length of the third side of each triangle.
what is the name of triangle
please can anyone help me out!!
Answer:
1.39 m
Step-by-step explanation:
sin 63 = x/13.5 (x = CD)
sin 52 = x/13.5 (x=AC)
take the difference between the two
3х – 8y = 34
7х + 4у = -34
Solve by elimination
Y and x
Please show steps ):
Answer:
The answer would be (-2, -5)
Step-by-step explanation:
3x - 8y= 34
2(7x + 4y = -34)
3x - 8y=34
14x + 8y= -68
----------------------
17x= -34 divided by 17
x = -2
3(-2) -8y= 34
-6 -8y =34 add 6
-8y= 40 divide by -8
y = -5
if you want to check the answer replacing -2 for x and -5 for y
7(-2) + 4(-5)= -34
-14 + (-20) = -34
-34 = -34
I hope this help sorry I'm not good explaining
solve for y:
-y/3 + 19 = 33
Hey there!
So, we are given the following to solve:
Solve for y.
\(-\frac{y}{3}+19=33\)
_______________________________
1. Move 19 to the right side.
\(-\frac{y}{3}=14\)
2. Multiply both sides by 3.
\(3(-\frac{y}{3})=14*3\)
3. Simplify.
\(-y=42\)
4. Divide both sides by -1.
\(\frac{-y}{-1}=\frac{42}{-1}\)
5. Simplify.
\(y=-42\)
__________________________________
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Teri goes shopping for some new clothes and then out to lunch with a friend. She spends $32.94 on some shirts, $15.89 for a belt and $19.99 each for two dresses that are on sale. For lunch, Teri has a salad that is $6.95, iced tea for $1.49 and dessert for $3.49. Teri pays 7% sales tax on both her shopping items and lunch. She tips her server 15%. How much has Teri spent all total for the day? a. $121.52 b. $109.58 c. $107.79 d. $88.19
Answer:
Step-by-step explanation:
Its B
Answer:
b.
$109.58
Step-by-step explanation:
HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
↓ screenshot below ↓
Answer:
Step-by-step explanation:
x | 4 | 8 | 12 | 16
HOPE I HELP YOU
y | 1 | 2 | 3 | 4
Solve by graphing :
-x + 3y = -9
y = -x + 1
Step-by-step explanation:
the answer from the graph is;
(3 , -2)
Question 11(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
The number of carbohydrates from 10 different tortilla
sandwich wraps sold in a grocery store was collected.
Which graphical representation would be most
appropriate for the data, and why?
Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data
point
Stem-and-leaf plot, because you can see each
individual data point
The most effective graphical representation of the above data would be a histogram.
Which graphical display would be the best fit for the data?A histogram is a graphic representation of the distribution of numerical data. In this case, data on the carbohydrate content of ten different tortilla sandwich wraps is acquired. The best option is a histogram because the data is numerical.
For categorical data, which is broken up into several categories and displayed as a fraction or percentage of the whole, a circle chart, also known as a pie chart, is the best option. The information offered is numerical rather than categorical, though.
Each individual data point is shown as a dot on a number line in a dot plot, also called a line plot. It may not be suitable for larger quantities of data, although being advantageous for an.
Numerical data can be arranged and displayed using a stem-and-leaf plot. For just ten data points, it might not be the ideal depiction, though.
Therefore, the most appropriate graphical representation for the provided data would be a histogram.
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Which expression is equivalent to 9s + 3 x 5 -2s?
A. 7s + 15
B. 2s + 22
C. 22s
D. 15s