Answer:
exterior is the outside and anterior is the front
Step-by-step explanation:
Given that kx^2 + hx - 4 = 0 has no roots. Find the ranges of value of k
Answer:
The ranges of value of k are values larger than 0 and lower than 16.
Step-by-step explanation:
Suppose we have a second order polynomial in the following format:
[tex]ax^2 + bx + c = 0, a \neq 0[/tex]
It will have no roots if:
[tex]\Delta = b^2 - 4ac < 0[/tex]
In this question, we have that:
[tex]hx^2 + hx - 4 = 0[/tex]
So, the coefficients are:
[tex]a = h, b = h, c = -4[/tex]
Then
[tex]\Delta < 0[/tex]
[tex]b^2 - 4ac < 0[/tex]
[tex]h^2 - 16h < 0[/tex]
A quadratic function, with a positive(as is 1 in this inequality), will be negative between it's roots.
The roots are:
[tex]h^2 - 16h = 0[/tex]
[tex]h(h - 16) = 0[/tex]
So
h = 0 or h = 16.
The ranes of value of k are values larger than 0 and lower than 16.
Sally earns $9.56 per hour. What is her overtime pay at time-and-a-half?
question 2, thanks for the help :)
Answer:
the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
Step-by-step explanation:
Given the points on the graph
(4, 4)(9, 1)Here:
(x₁, y₁) = (4, 4)
(x₂, y₂) = (9, 1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - 4] / [9 - 4]
= -3 / 5
Thus, the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
CHECK YOUR UNDERSTANDING
The Wacky Widget Company sells widgets for
$4.00 each wholesale. A local store has a
markup of $1.20.
A. What is the retail price?
B. What percent is the markup price?
Answer:
Retail price = $5.20
Percentage of mark up price = 30%
Step-by-step explanation:
Company sells $4.00 each wholesale.
Now the local store which is the retailer has a markup of $1.20.
This means that the retail price is;
Retail price = wholesale price + mark up = $4.00 + $1.20
Retail price = $5.20
To find the percentage of the markup, it is the fraction of the wholesale price multiplied by 100%.
Thus;
Percentage of Markup is;
1.2/4 × 100% = 30%
goran spent $38 on fruit at the grocey store.He spent a total of 40$ at the store.what percentage of the total he spend of the fruit
Find the required weekly payment into a sinking fund needed to accumulate $35,000 in 15 years by making weekly deposits into an account at 4.25% compounded weekly
.
Answer:
$32.10
Step-by-step explanation:
The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:
Future value=weekly payment*(1+r)^n-1/r
Future value=$35,000
weekly payment is the unknown
r=weekly interest rate=4.25%/52=0.08173077% ( I use 8 decimal places in order to achieve accuracy)
n=number of weekly payments in 15 years=15*52=780
35000=weekly payment*(1+0.08173077% )^780-1/0.08173077%
35000=weekly payment*(1.89125311 -1)/0.000817308
35000=weekly payment*0.89125311 /0.000817308
weekly payment=35,000*0.000817308 /0.89125311
weekly payment=$32.10
1.2.
Prove the following the trigonometric identity step-by-step
1.2.1 sin theta/sin theta+cos theta=tan theta/1+tan theta
Answer:
The identity is proved below.
Step-by-step explanation:
The tangent of an angle [tex]\theta[/tex] is given by:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this question, we are given the following trigonometric identity:
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\tan{\theta}}{1+\tan{\theta}}[/tex]
Applying the tangent
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\frac{\sin{\theta}}{\cos{\theta}}}{1+\frac{\sin{\theta}}{\cos{\theta}}}[/tex]
Now, we apply the least common multiple on the denominator. So
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\frac{\sin{\theta}}{\cos{\theta}}}{\frac{\cos{\theta}+\sin{\theta}}{\cos{\theta}}}[/tex]
SImplifying the cosine:
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}}[/tex]
Which means that the identity is proved.
Assume the random variable x is normally distributed with mean u = 86 and standard deviation o = 5. Find the indicated probability
P(x <83)
Answer:
2
Step-by-step explanation:
What is the value of x
Answer:
54
Step-by-step explanation:
The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No. Table showing the number of cake slices sold each day. Monday, eighty slices. Tuesday, one hundred twenty slices. Wednesday, one hundred slices. Thursday, one hundred forty slices. A On Monday, the restaurant made 8 cakes and will have 3 left over because −116(80)=−5. Yes No B On Tuesday, the restaurant only needed 7 cakes because −116(120)=−712. Yes No C On Wednesday, the restaurant made 7 cakes and will have 34 of a cake left over because −116(100)=−6.25. Yes No D On Thursday, the restaurant made 8 cakes and will have 34 of a cake left because −116(110)=−8.75. Yes No brainiest
Answer:
yes
no
yes
no
hope this helps
Answer:
1. Yes
2. No
3.Yes
4.No
Step-by-step explanation:
I did the test and got it right!
How much do 15 DVDs cost at the store with the lowest unit price?
Bernie's Bargains 6 DVDs for $56.70
Greg's Giveaways 10 DVDs for $99.70
Stan's Steals 8 DVDs for $79.68
Answer:
Total cost= $141.75
Step-by-step explanation:
Giving the following information:
Bernie's Bargains 6 DVDs for $56.70
Greg's Giveaways 10 DVDs for $99.70
Stan's Steals 8 DVDs for $79.68
First, we need to determine the unitary price of each and choose the lowest one:
Bernie= 56.7/6= $9.45
Greg= 99.7/10= $9.7
Stan= 79.68/8= $9.96
The lowest price is $9.45.
Now, the total cost of 15 DVDs:
Total cost= 9.45*15
Total cost= $141.75
Answer:
149.25
Step-by-step explanation:
y=$1.25x + $5.00 what is the total cost of service for the month if you stream 5 videos
Answer: $11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
I assume that x = the 5 videos streamed
5*1.25=6.25
6.25+5 =11.25
y=$11.25
Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much money did Doug pay for each
picture?
Help! It’s due it’s due in 30 minutes
Answer:
Contains two 6x6 triangles, contains one 12x3 rectangle, four 2x2 triangles, and two 2x2 squares.
88
Step-by-step explanation:
You only need the area of one side of this shape to find the total area.
((6*6)/2+(3*6)+(2*2)+(2*2))2 = 88. What's inside the parenthesis is the area for one side of the shape, then you can multiply that by two to get the entire area.
There are 946 milliliters in a quart. There are 2 pints in a quart
How many milliliters are in a pint?
Answer:
There are 473 millimeters in 1 pint.
Step-by-step explanation:
946 ml in 1 quart.
2 pints in 1 quart
hence,
946 ml in 2 pints
hence in 1 pint we have 946/2 ml
i.e. 473 ml in 1 pint.
:)
Answer:
473 milliliters
Step-by-step explanation:
If there are 946 mL in a quart and there are 2 pints in a quart, divide 946 by 2 to find how many mL are in one pint.
Here's an equation you can set up to solve the problem.
— 946 = 2x
— 946 / 2 = 2x / 2
— 473 = x
So, if we let x stand for the amount of mL in a pint, then 473 = x means there are 473 mL in a pint.
Which expression is equivalent to 21^3sqrt15 - 9^3sqrt15?
A. 12
B. 30^3sqrt15
C. 12^3sqrt5
D. 12^3sqrt15
Answer:
the answer is D.
Step-by-step explanation:
Since the square: (3√15) is common in both of them, you only focus on 21 and 9. if you subtract 9 from 21, it will give you 12. so, just add (3√15) to 12, which will give you: 12^3sqrt15
Find the length of dm in the given fig.
Answer:
[tex]DM=12[/tex]
Step-by-step explanation:
(Let the point where the altitude from [tex]D[/tex] intersects [tex]AB[/tex] be called as point [tex]E[/tex].) First, let's find the area of parallelogram [tex]ABCD[/tex]. The area of a parallelogram is simply [tex]b*h=bh[/tex], where [tex]b[/tex] is the parallelogram's base and [tex]h[/tex] is the parallelogram's height. If we let [tex]AB[/tex] and [tex]DE[/tex] be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram [tex]ABCD[/tex] will be [tex]AB*DE=15*8=120[/tex].
Now, how does this information matter, you might ask? Well, we can take either [tex]AB[/tex] or [tex]CB[/tex] to be the base and either [tex]DE[/tex] or [tex]DM[/tex] to be the height. In this case, let's take the latter two options, as we are looking to find the length of [tex]DM[/tex].
Therefore, we know that the area of parallelogram [tex]ABCD[/tex] can also be found by calculating [tex]CB*DM[/tex]. Since we know the values of the area and [tex]CB[/tex], we can write the following equation to solve for [tex]DM[/tex]:
[tex]Area = CB*DM[/tex]
[tex]120=10*DM[/tex] (Substitute [tex]Area=120[/tex] and [tex]CB=10[/tex] into the equation)
[tex]\frac{120}{10}=\frac{10*DM}{10}[/tex] (Divide both sides of the equation by [tex]10[/tex] to get rid of [tex]DM[/tex]'s coefficient)
[tex]12=DM[/tex] (Simplify)
[tex]DM=12[/tex] (Symmetric Property of Equality)
Hope this helps!
Is 1/2 plus 5/12 greater than 1 or less than 1
Answer:
Less than 1
1/2=6/12
6/12+5/12=11/12
11/12<1
#CarryOnLearning
Make it brainliest ty
You can buy five cans for green beans at the village market for $2.20 you can buy 10 of the same cans of beans at Sam’s Club for $5.30 which place is better
Answer:
The village market is better than Sam's Club
Step-by-step explanation:
If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.
If your gross monthly income will be $3,750, you need to determine the net pay for your monthly budget. Your monthly net pay is
Answer:
$2,989.12
Step-by-step explanation:
The correct answer to the given question is $2,989.12. The monthly net pay is $2,989.12, when the gross monthly income is $3,750.
The deduction from the gross income is almost 20.29%.
The gross income is multiplied by 20.29% and then the answer is deducted from the gross income which gives monthly net pay as a result
$3,750 * 20.29% = $760.875
$3,750 - $760.875 = $2,989.12
Your monthly net pay is $2,989.12
What is the surface area of the rectangular prism?
PLSSS HELP GUYS I NEED HELP ASAP
Answer:
348 ignore this eoendndisiwjd
Add 2/7 + 3/7?
[tex]2 \7 + 3 \7[/tex]
In 2009, two tickets to a certain American band's concert and two tickets to a certain British band's concert cost, on average, a total of $592. At those prices, four tickets to see this
American band and two tickets to see this British pand cost $842. What was the average cost of these American and British band tickets in 2009?
American band $
British band$
Please help me answer this will give brainlst
Answer:
17° and 73°
Step-by-step explanation:
For two complementary angles, the sum of angles is equal to 90 degrees.
Let other angles = x
First angle = 5+4x ...(1)
ATQ,
5+4x+x=90 ...(2)
Equation (1) and (2) shows the equations for the given problems.
5+5x=90
5x = 85
x = 17°
Other angle = 17
First angle = 5+4x
= 5+4(17)
= 73°
So, the other two angles are 17° and 73° respectively.
AE = 3x - 2 and EC = 2x + 3 then DB =
#5
Answer:
DB = 26
Step-by-step explanation:
Remember:
AE ≅ ECAC ≅ DB☆The equation in finding the value of x would be 3x - 2 = 2x + 3.
☆Let's solve the equation.
[tex] \: \: \: \: \: \: \: \: \: 3x - 2 = 2x + 3 \\ \frac{ - 2x \: \: \: \ = - 2x}{x - 2 = 3} \\ \frac{ \: \: \: \: \: + 2 = + 2}{x = 5} [/tex]
☆Now that we found the value of x, we are going to plug in for AE and EC.
[tex]AE ; \\ 3x - 2 \\ 3(5) - 2 \\ 15 - 2 \\ 13 \\ \\ \\ \\ and \\ \\ \\ \\ \\ EC; \\ 2x + 3 \\ 2(5) + 3 \\ 10 + 3 \\ 13[/tex]
☆AE and EC each measure 13. To find the length of AC, you will have to add AE and EC. [tex]13 + 13 = 26[/tex]
The length of AC is 26. And since we know that AC is congruent (equal) to DB, meaning they measure the same. DB length is also 26.
Determine the value of to the nearest tenth.
0
26
Answer:
0.3
Step-by-step explanation:
0.26?
0.3
Solve
12 (8 – 4) =
Q 42
o 144
102
48
sally is taking a test
when she got her score it was 85% of 100% how many questions was on the test and how many did she get wrong
Answer:
There was 20 questions on the test.
She got 3 wrong.
Step-by-step explanation:
[tex]\frac{85}{100} = \frac{17}{20}[/tex]
20 - 17 = 3
There was 20 questions on the test.
She got 3 wrong.
Choose the algebraic description that maps AABC onto AA'B'C'in the given figure.
A) (x, y) - (x + 6, Y)
B) (x, y) - (x, y - 6)
OC) (x, y) - (x-6, y).
D) (x, y) - (x, y + 6)
9514 1404 393
Answer:
C) (x, y) ⇒ (x -6, y)
Step-by-step explanation:
Each image point is 6 units left of the corresponding pre-image point. That is, its x-coordinate is reduced by 6. The appropriate choice is shown below.
A data set has a mean of 80. The value 83 lies one standard deviation above the mean. What is the margin of error?
Answer:
3
Step-by-step explanation:
Answer:
it will be 6
Step-by-step explanation:
The standard deviation is 83 – 80 = 3. Since margin of error is two times the standard deviation, it must equal 6.